IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v50y2019i12p2292-2305.html
   My bibliography  Save this article

A brief review and insights into matrix inequalities for H∞ static-output-feedback control and a local optimal solution

Author

Listed:
  • Zhi-Yong Feng
  • Jinhua She
  • Li Xu

Abstract

This paper first gives a brief review of four kinds of matrix inequalities and two open problems about $H_\infty $H∞ static-output-feedback (SOF) control of continuous-time systems. Then, by clarifying the relationships among those matrix inequalities, the two open problems are proved to be essentially equivalent to a problem of choosing a coordinate transformation matrix (CTM). A new two-step optimisation method is established to solve this open problem. In the first step, a cone complementarity linearisation (CCL) method is utilised to solve the SOF-stabilisation problem so as to obtain a proper initial CTM. In the second step, a T-K iteration strategy is developed to optimise the choice of the CTM to locally solve the optimal continuous-time $H_\infty $H∞ SOF control problem. Numerical examples are given to demonstrate the effectiveness and benefits of the proposed method.

Suggested Citation

  • Zhi-Yong Feng & Jinhua She & Li Xu, 2019. "A brief review and insights into matrix inequalities for H∞ static-output-feedback control and a local optimal solution," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(12), pages 2292-2305, September.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:12:p:2292-2305
    DOI: 10.1080/00207721.2019.1654008
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2019.1654008
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2019.1654008?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:tsysxx:v:50:y:2019:i:12:p:2292-2305. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.